Answer:
dy/dx=8
Step-by-step explanation:
note this differentiating a constant you get zero for that of a function like 8x you would use the index or power of x to multiply the coefficient of the x after substrate 1 from the power of the x putting that in writing for the above question we get
y'=dy/dx=(8*1)x^(1-1) - 0
y'=dy/dx=8x^0
y'=dy/dx=8
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:

Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:

We know the volume and the radius of the conical container, then we can find "h":

The diameter and height doubled are:

Now the radius is:
And the container capacity is

Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.
No it does not. If q=b and b=t then q=t is the correct answer.